Q: What are the factor combinations of the number 112,013,525?

 A:
Positive:   1 x 1120135255 x 2240270513 x 861642525 x 448054165 x 1723285325 x 344657523 x 214175659 x 1699752615 x 428353295 x 339956799 x 164758567 x 13075
Negative: -1 x -112013525-5 x -22402705-13 x -8616425-25 x -4480541-65 x -1723285-325 x -344657-523 x -214175-659 x -169975-2615 x -42835-3295 x -33995-6799 x -16475-8567 x -13075


How do I find the factor combinations of the number 112,013,525?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 112,013,525, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 112,013,525
-1 -112,013,525

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 112,013,525.

Example:
1 x 112,013,525 = 112,013,525
and
-1 x -112,013,525 = 112,013,525
Notice both answers equal 112,013,525

With that explanation out of the way, let's continue. Next, we take the number 112,013,525 and divide it by 2:

112,013,525 ÷ 2 = 56,006,762.5

If the quotient is a whole number, then 2 and 56,006,762.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 112,013,525
-1 -112,013,525

Now, we try dividing 112,013,525 by 3:

112,013,525 ÷ 3 = 37,337,841.6667

If the quotient is a whole number, then 3 and 37,337,841.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 112,013,525
-1 -112,013,525

Let's try dividing by 4:

112,013,525 ÷ 4 = 28,003,381.25

If the quotient is a whole number, then 4 and 28,003,381.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 112,013,525
-1 112,013,525
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

151325653255236592,6153,2956,7998,56713,07516,47533,99542,835169,975214,175344,6571,723,2854,480,5418,616,42522,402,705112,013,525
-1-5-13-25-65-325-523-659-2,615-3,295-6,799-8,567-13,075-16,475-33,995-42,835-169,975-214,175-344,657-1,723,285-4,480,541-8,616,425-22,402,705-112,013,525

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